plane stress

简明释义

平面应力

英英释义

例句

1.When dealing with two-dimensional problems, engineers apply plane stress (平面应力) theory to predict material behavior.

在处理二维问题时，工程师应用 理论来预测材料行为。

2.The finite element method can be used to analyze plane stress (平面应力) scenarios in mechanical components.

有限元方法可以用来分析机械部件中的 情况。

3.The design of thin-walled structures is usually based on the assumption of plane stress (平面应力) for efficiency.

薄壁结构的设计通常基于 假设以提高效率。

4.For thin plates subjected to in-plane forces, the assumption of plane stress (平面应力) is valid.

对于受平面内力作用的薄板， 假设是有效的。

5.In structural engineering, we often analyze materials under plane stress (平面应力) conditions to simplify the calculations.

在结构工程中，我们常常在 条件下分析材料，以简化计算。

作文

In the field of mechanics, understanding the concept of plane stress is crucial for analyzing two-dimensional stress conditions in materials. Plane stress refers to a state of stress that occurs in a material where the stress component perpendicular to a particular plane is assumed to be zero. This simplification is particularly useful in engineering applications where the thickness of a material is much smaller than its other dimensions, such as in thin plates or shells. In these cases, the stress in the thickness direction can be neglected, and the analysis can focus on the stresses acting in the plane of interest. The significance of plane stress arises from its application in various engineering fields, including civil, mechanical, and aerospace engineering. For instance, when designing structural components like beams, plates, or shells, engineers often encounter situations where the material can be treated as having plane stress conditions. This allows for a more straightforward analysis and helps in predicting how the material will behave under load. To further illustrate the concept, consider a thin rectangular plate subjected to uniform tensile forces along its edges. In this scenario, the stress in the thickness direction is negligible compared to the in-plane stresses. Therefore, the engineers can use plane stress assumptions to simplify their calculations and design processes. By focusing solely on the in-plane stresses, they can apply various analytical methods, such as the finite element method or analytical solutions, to determine the stress distribution within the plate. Moreover, understanding plane stress is essential for predicting failure modes in materials. When a material is subjected to loads, it may experience yielding or fracture depending on the stress state. By applying plane stress theory, engineers can assess whether the material will withstand the applied loads or if it is likely to fail. This assessment is vital in ensuring the safety and reliability of structures and components in real-world applications. In summary, the concept of plane stress plays a fundamental role in the analysis and design of engineering structures. It simplifies the complexities of three-dimensional stress states into manageable two-dimensional problems, allowing engineers to make informed decisions about material selection, design parameters, and safety considerations. As technology advances and materials become more sophisticated, the importance of mastering concepts like plane stress will continue to grow, enabling engineers to innovate and improve the performance of their designs. In conclusion, plane stress is not just a theoretical concept but a practical tool that engineers rely on to ensure the integrity and effectiveness of their designs. By grasping the principles of plane stress, engineers can better navigate the challenges of modern engineering and contribute to the development of safer, more efficient structures. Overall, the study of plane stress is an essential aspect of engineering mechanics, providing insights that are critical for successful material design and analysis. The ability to apply plane stress concepts effectively can lead to significant advancements in engineering practices and innovations in material science.

在力学领域，理解平面应力的概念对于分析材料中的二维应力条件至关重要。平面应力是指在材料中发生的一种应力状态，其中垂直于特定平面的应力分量被假设为零。这种简化在工程应用中尤为有用，尤其是在材料的厚度远小于其他尺寸的情况下，例如薄板或壳体。在这些情况下，可以忽略厚度方向的应力，分析可以集中在感兴趣的平面上的应力。平面应力的重要性体现在其在多个工程领域的应用，包括土木工程、机械工程和航空航天工程。例如，在设计结构构件（如梁、板或壳体）时，工程师通常会遇到材料可以视为具有平面应力条件的情况。这使得分析变得更加简单，并有助于预测材料在负载下的行为。为了进一步说明这一概念，考虑一个薄矩形板在边缘施加均匀拉伸力的情况。在这种情况下，与平面应力相比，厚度方向的应力可以忽略。因此，工程师可以使用平面应力假设来简化他们的计算和设计过程。通过专注于平面内的应力，他们可以应用各种分析方法，如有限元法或解析解，来确定板内的应力分布。此外，理解平面应力对于预测材料的失效模式至关重要。当材料受到负载时，可能会根据应力状态经历屈服或断裂。通过应用平面应力理论，工程师可以评估材料是否能够承受施加的负载，或者是否可能发生故障。这种评估对于确保现实应用中结构和组件的安全性和可靠性至关重要。总之，平面应力的概念在工程结构的分析和设计中发挥着基础性作用。它将三维应力状态的复杂性简化为可管理的二维问题，使工程师能够对材料选择、设计参数和安全考虑做出明智的决策。随着技术的进步和材料的不断发展，掌握像平面应力这样的概念的重要性将继续增长，使工程师能够创新并提高设计的性能。最后，平面应力不仅仅是一个理论概念，而是工程师依赖的一个实用工具，以确保他们设计的完整性和有效性。通过掌握平面应力的原理，工程师可以更好地应对现代工程的挑战，为开发更安全、更高效的结构做出贡献。总体而言，研究平面应力是工程力学的一个重要方面，提供了对于成功的材料设计和分析至关重要的见解。有效应用平面应力概念的能力可以推动工程实践的重大进步和材料科学的创新。